201122121112001 has 2 divisors, whose sum is σ = 201122121112002. Its totient is φ = 201122121112000.

The previous prime is 201122121111983. The next prime is 201122121112057. The reversal of 201122121112001 is 100211121221102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150669512112001 + 50452609000000 = 12274751^2 + 7103000^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122121112001 - 2³⁴ = 201104941242817 is a prime.

It is not a weakly prime, because it can be changed into another prime (201122121111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561060556000 + 100561060556001.

It is an arithmetic number, because the mean of its divisors is an integer number (100561060556001).

Almost surely, 2^{201122121112001} is an apocalyptic number.

It is an amenable number.

201122121112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122121112001 is an equidigital number, since it uses as much as digits as its factorization.

201122121112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201122121112001 its reverse (100211121221102), we get a palindrome (301333242333103).

The spelling of 201122121112001 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one".